54958603919760 has 560 divisors, whose sum is σ = 208169085135360. Its totient is φ = 13436390522880.

The previous prime is 54958603919689. The next prime is 54958603919783. The reversal of 54958603919760 is 6791930685945.

54958603919760 is a `hidden beast` number, since 5 + 4 + 9 + 5 + 8 + 603 + 9 + 1 + 9 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 33550512 + ... + 35150448.

Almost surely, 2^{54958603919760} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54958603919760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104084542567680).

54958603919760 is an abundant number, since it is smaller than the sum of its proper divisors (153210481215600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54958603919760 is a wasteful number, since it uses less digits than its factorization.

54958603919760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600018 (or 1599997 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 72.

The spelling of 54958603919760 in words is "fifty-four trillion, nine hundred fifty-eight billion, six hundred three million, nine hundred nineteen thousand, seven hundred sixty".